Learning to Reason: An Introduction to Logic, Sets, and Relations

Author:   Nancy Rodgers (Hanover College, Hanover, IN)
Publisher:   John Wiley & Sons Inc
ISBN:  

9780471371229


Pages:   456
Publication Date:   24 July 2000
Format:   Paperback
Availability:   Available To Order   Availability explained
We have confirmation that this item is in stock with the supplier. It will be ordered in for you and dispatched immediately.

Our Price $358.95 Quantity:  
Add to Cart

Share |

Learning to Reason: An Introduction to Logic, Sets, and Relations


Add your own review!

Overview

Learn how to develop your reasoning skills and how to writewell-reasoned proofs Learning to Reason shows you how to use the basic elements ofmathematical language to develop highly sophisticated, logicalreasoning skills. You'll get clear, concise, easy-to-followinstructions on the process of writing proofs, including thenecessary reasoning techniques and syntax for constructingwell-written arguments. Through in-depth coverage of logic, sets,and relations, Learning to Reason offers a meaningful, integratedview of modern mathematics, cuts through confusing terms and ideas,and provides a much-needed bridge to advanced work in mathematicsas well as computer science. Original, inspiring, and designed formaximum comprehension, this remarkable book: * Clearly explains how to write compound sentences in equivalentforms and use them in valid arguments * Presents simple techniques on how to structure your thinking andwriting to form well-reasoned proofs * Reinforces these techniques through a survey of sets--thebuilding blocks of mathematics * Examines the fundamental types of relations, which is ""where theaction is"" in mathematics * Provides relevant examples and class-tested exercises designed tomaximize the learning experience * Includes a mind-building game/exercise space atwww.wiley.com/products/subject/mathematics/

Full Product Details

Author:   Nancy Rodgers (Hanover College, Hanover, IN)
Publisher:   John Wiley & Sons Inc
Imprint:   Wiley-Interscience
Dimensions:   Width: 19.50cm , Height: 2.70cm , Length: 24.30cm
Weight:   0.980kg
ISBN:  

9780471371229


ISBN 10:   047137122
Pages:   456
Publication Date:   24 July 2000
Audience:   College/higher education ,  Professional and scholarly ,  Undergraduate ,  Postgraduate, Research & Scholarly
Format:   Paperback
Publisher's Status:   Active
Availability:   Available To Order   Availability explained
We have confirmation that this item is in stock with the supplier. It will be ordered in for you and dispatched immediately.

Table of Contents

LOGICAL REASONING. Symbolic Language. Two Quantifiers. Five Logical Operators. Laws of Logic. Logic Circuits. Translations. WRITING OUR REASONING. Proofs and Arguments. Proving Implications. Writing a Proof. Working with Quantifiers. Using Cases. Proof by Contradiction. Mathematical Induction. Axiomatic Systems. SETS - THE BUILDING BLOCKS. Sets and Elements. Operations on Sets. Multiple Unions and Intersections. Cross Product. Finite Sets. Infinite Sets. RELATIONS - THE ACTION. Relations. Equivalence Relations. Functions. Order Relations. Summary. Appendices. Bibliography.

Reviews

""A primary strength is its broad attention to ideas from logic, settheory and relations while focusing the key notions of symbolismand writing proofs."" (Choice, Vol. 38, No. 7, March 2001) ""In this textbook for mathematics and computer science majors,Rodgers explains how to write compound sentences in equivalentforms and use them in valid arguments..."" (SciTech Book News, March2001)


A primary strength is its broad attention to ideas from logic, set theory and relations while focusing the key notions of symbolism and writing proofs. (Choice, Vol. 38, No. 7, March 2001) ...for mathematics and computer science majors, Rodgers explains how to write compound sentences in equivalent forms and use them in valid arguments... (SciTech Book News, March 2001)


A primary strength is its broad attention to ideas from logic, set theory and relations while focusing the key notions of symbolism and writing proofs. (Choice, Vol. 38, No. 7, March 2001) In this textbook for mathematics and computer science majors, Rodgers explains how to write compound sentences in equivalent forms and use them in valid arguments... (SciTech Book News, March 2001)


A primary strength is its broad attention to ideas from logic, settheory and relations while focusing the key notions of symbolismand writing proofs. (Choice, Vol. 38, No. 7, March 2001) In this textbook for mathematics and computer science majors,Rodgers explains how to write compound sentences in equivalentforms and use them in valid arguments... (SciTech Book News, March2001)


Author Information

NANCY RODGERS, PhD, is Professor of Mathematics at Hanover College, Hanover, Indiana.

Tab Content 6

Author Website:  

Customer Reviews

Recent Reviews

No review item found!

Add your own review!

Countries Available

All regions
Latest Reading Guide

MRG2025CC

 

Shopping Cart
Your cart is empty
Shopping cart
Mailing List